Pith Number

pith:Q67HYRDZ

pith:2005:Q67HYRDZK72JS5YZQUVE7TABNV

not attested not anchored not stored refs pending

The Noether inequality for smooth minimal 3-folds

De-Qi Zhang (National University of Singapore), Fabrizio Catanese (Universitaet Bayreuth), Meng Chen (Fudan University)

arxiv:math/0507606 v1 · 2005-07-29 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q67HYRDZK72JS5YZQUVE7TABNV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:12:57.491254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87be7c447957f4997719852a4fcc016d42f37e02dc8ba9ee6cd0f841c4f5bd2b

Aliases

arxiv: math/0507606 · arxiv_version: math/0507606v1 · doi: 10.48550/arxiv.math/0507606 · pith_short_12: Q67HYRDZK72J · pith_short_16: Q67HYRDZK72JS5YZ · pith_short_8: Q67HYRDZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q67HYRDZK72JS5YZQUVE7TABNV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 87be7c447957f4997719852a4fcc016d42f37e02dc8ba9ee6cd0f841c4f5bd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ba791f2045e9ce6f63715e6772ff7f289d856e884f8e4036b3a1571af883f5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-07-29T13:25:00Z",
    "title_canon_sha256": "3f1a5566a5d427359435a396fd85a3a9b0a4139e2216ff423a6255776f3c15c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507606",
    "kind": "arxiv",
    "version": 1
  }
}